I am a lecturer in pure mathematics at the University of Manchester. My research interests lie in the field of number theory.

## Teaching:

My office hour is Thursday 11:00 - 12:00.## Journal articles:

All of my papers are available on arXiv.org.

- Arithmetic progressions in binary quadratic forms and norm forms, with C. Elsholtz, submitted

(arXiv) - Number fields with prescribed norms, with D. Loughran and R. Newton, with an appendix by Y. Harpaz and O. Wittenberg, submitted

(arXiv) - Averages and higher moments for the ℓ-torsion in class groups, with M. Widmer, submitted

(arXiv) - Vinogradov's three primes theorem with primes having given primitive roots, with P. Koymans and E. Sofos, submitted

(arXiv) - Average bounds for the ℓ-torsion in class groups of cyclic extensions, with M. Widmer,
*Res. Number Theory*(2018) 4:34

(arXiv, doi) - Rational points and non-anticanonical height functions, with D. Loughran,
*Proc. Amer. Math. Soc.*, to appear

(arXiv) - Rational points of bounded height on general conic bundle surfaces, with D. Loughran and E. Sofos,
*Proc. London Math. Soc.*117 (2), 407-440, 2018

(arXiv, doi) - Generalised divisor sums of binary forms over number fields, with E. Sofos,
*J. Inst. Math. Jussieu*, to appear

(arXiv, doi) - The Hasse norm principle for abelian extensions, with D. Loughran and R. Newton,
*Amer. J. Math*140 (6), 1639-1685, 2018

(arXiv, doi) - Forms of differing degrees over number fields, with M. Madritsch,
*Mathematika*63 (1): 92-123, 2017

(arXiv, doi) - Counting rational points on smooth cubic
surfaces, with E. Sofos,
*Math. Res. Lett.*23 (1): 127-143, 2016

(arXiv, doi) - O-minimality on twisted universal torsors and Manin's conjecture over number fields, with M. Pieropan,
*Ann. Sci. Éc. Norm. Supér.*49 (4):757-811, 2016

(arXiv, doi) - On Manin's conjecture for a certain singular cubic surface over imaginary quadratic fields, with U. Derenthal,
*Int. Math. Res. Not. IMRN*2015 (10): 2728-2750, 2015

(arXiv, doi) - On sums of S-integers of bounded norm, with R. F. Tichy and V. Ziegler,
*Monatsh. Math.*175 (2): 241-247, 2014

(arXiv, doi) - Counting imaginary quadratic points via universal torsors, II, with U. Derenthal,
*Math. Proc. Camb. Philos. Soc.*156 (3): 383-407, 2014

(arXiv, doi) - Counting imaginary quadratic points via universal torsors, with U. Derenthal,
*Compositio Math.*150 (10): 1631-1678, 2014

(arXiv, doi) - Schanuel's theorem for heights defined via extension fields, with M. Widmer,
*Ann. Sc. Norm. Super. Pisa Cl. Sci.*, Vol. XV (2016), 355-398, 2016

(arXiv, doi) - Counting rational points over number fields on a singular cubic surface,
*Algebra Number Theory*7 (6): 1451-1479, 2013

(arXiv, doi) - Additive unit representations in rings over global fields - A survey, with F. Barroero and R. F. Tichy,
*Publ. Math. Debrecen*79 (3-4): 291-307, 2011

(arXiv) - On rings of integers generated by their units,
*Bull. London Math. Soc.*44, 167-182, 2012

(arXiv, doi) - Sums of units in function fields II - The extension problem,
*Acta Arith.*149 (4): 361-369, 2011

(arXiv, doi) - Sums of units in function fields,
*Monatsh. Math.*164 (1): 39-54, 2011

(arXiv, doi) - Non-unique factorization of polynomials over residue class rings of the integers, with S. Frisch,
*Comm. Algebra*, 39 (4): 1482-1490, 2011

(arXiv, doi)

## Conference proceedings:

- Some applications of o-minimality in quantitative arithmetic geometry, Mathematisches Forschungsinstitut Oberwolfach, Report No. 22/2017
- Divisor sums and rational points on conic bundle surfaces, Mathematisches Forschungsinstitut Oberwolfach, Report No. 53/2016